Sets where Lip $f$ is infinite and lip $f$ is finite

27 Jul 2020  ·  Hanson Bruce ·

We characterize the subsets $E \subset \mathbb{R}$ for which there exists a continuous real valued function $f: \mathbb{R}\to\mathbb{R}$ such that lip $f$ is finite everywhere and Lip $f$ is infinite exactly on $E$...

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Classical Analysis and ODEs